Tema 5: Integración de funciones exponenciales y logarítmica

18 Slides • 4 Questions

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Integración de funciones exponenciales y logarítmica

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Integración de funciones exponenciales

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Multiple Choice

Determina el resultado de la siguiente integral exponencial:

\int\frac{e^{3x}}{3}dx

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$=\frac{1}{9}e^{3x}+C$

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$=\frac{1}{3}e^{3x}+C$

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$=e^{3x}+C$

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$=\frac{1}{9}e^x+C$

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Multiple Choice

Determina la siguiente integral indefinida:

$\mathrm{\int\left(e^{5x}+3e^{3x}+x^2\right)dx}$

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$=\frac{1}{5}e^{5x}+e^{3x}+\frac{x^3}{3}+C$

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$=e^{5x}+e^{3x}+x^3+C$

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$=5e^{5x}+e^{3x}+\frac{x^3}{3}+C$

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$=5e^x+e^x+\frac{x^3}{3}+C$

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Multiple Choice

Determina la siguiente integral indefinida $\int\frac{6^{\sqrt{x}}}{\sqrt{x}}dx$

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$=\frac{2\cdot6^{\sqrt{x}}}{\ln\ 6}+\ C$

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$=\frac{6^{\sqrt{x}}}{\ 2\ln\ 6}+\ C$

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$=\frac{6^{\sqrt{x}}}{\ln\ 6}+\ C$

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$=\frac{6}{\ln\ 6\sqrt{x}}+\ C$

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Multiple Choice

Determina la integral indefinida:

\int\left(\frac{8x+6}{x^2}\right)dx

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$=8\ln|x|−\left(\frac{6}{x}\right)+C$

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$=x\ln|8|−\left(\frac{6}{x}\right)+C$

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$=8\ln|x|+\left(\frac{6}{x}\right)+C$

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$=8\ln|x|−\left(6x\right)+C$

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Integración de funciones exponenciales y logarítmica

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